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guajiro [1.7K]
3 years ago
15

If you lived in a hobbit house and had a round window that needed? trim, how much trim would be needed to go around a window wit

h a radius of 4.2? feet?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0

Answer:

To find out how much trim you would need for the window, you would need to calculate the Circumference.

Step-by-step explanation:

<u>Circumference</u> is the length around a circle and is calculated using the following formula.

C = 2\pi r

In which C is the circumference and r is the radius. Since we already know the radius all we have to do is plug it into the equation and solve for C.

C = 2\pi (4.2)

C = 26.389 ft

<u>Answer:</u> The window has a Circumference of 26.389 feet so you would need that amount of trim to fit the area around the window.

Hope my answer would be a great help for you.    

If you have more questions feel free to ask here at Brainly.  

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Aleksandr [31]

Answer:

3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)

4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2

5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)

6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)

7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary

8. m∠2 = 64° ~ again, same side exterior angle theorem

4 0
2 years ago
Consider the series ∑n=1∞158n ∑n=1∞158n determine whether the series converges, and if it converges, determine its value. conver
Harlamova29_29 [7]
The limit of 158n as n apporaches infinity is also infinity. If the sequence diverges, the seried cannot converge
4 0
3 years ago
What is 10% of 4,550
Lena [83]
The answer would be 445.
5 0
3 years ago
The following describes a sample. The information given includes the five number summary, the sample size, and the largest and s
lys-0071 [83]

Answer:

L= Q_1 - 1.5*IQR = 210 -1.5*40 =150

U= Q_3 + 1.5*IQR = 250 +1.5*40 =310

And if we analyze the info provided we have 500 values

Tails: 160,165,167,171,175,...,268,269,269,269,270,270

So as we can see on the tails any values is <150 or >310 so then for this case we cannot consider as outliers any of the values on the tails of the distribution.

Step-by-step explanation:

For this case we have the 5 number summary

(160,210,220,250,270)

So then we have:

minimum = 160 , Q1 = 210, Q2= Median=220, Q3 = 250, Max=270

If we find the interquartile range we got:

IQR = Q_3 -Q_1 = 250-210 =40

For this case we need to find the lower and upper limit with the following formulas:

L= Q_1 - 1.5*IQR = 210 -1.5*40 =150

U= Q_3 + 1.5*IQR = 250 +1.5*40 =310

And if we analyze the info provided we have 500 values

Tails: 160,165,167,171,175,...,268,269,269,269,270,270

So as we can see on the tails any values is <150 or >310 so then for this case we cannot consider as outliers any of the values on the tails of the distribution.

4 0
4 years ago
For v = − 3 ( r − 3 ) when r = − 1 , what does v equal?
Gelneren [198K]

Answer:

Step-by-step explanation:

v = 3 (r - 1)

v = 3(- 1 - 3) <----- Here we are substituting R

v = -3 - 9 <---- Here we expanded the bracket

v = -12 <--- This is your answer, because -3 -9 is equal to -12

4 0
4 years ago
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